{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.special as sp\n",
    "import StochasticNeuralNetwork as SNN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. generate a simple non-linear function\n",
    "X = np.reshape(np.arange(-5.0, 5.0, 0.01), [-1, 1])\n",
    "np.random.shuffle(X)\n",
    "\n",
    "linearity_coeff = 0.0\n",
    "Y = []\n",
    "#  make this effect time-varying (relationship will \"straighten out\" over time)\n",
    "for t in range(1000):\n",
    "    linearity_coeff += 0.0002\n",
    "\n",
    "    y_t = (linearity_coeff * X[t]) + (1 - linearity_coeff) * sp.expit(X[t])\n",
    "    Y.append(y_t)\n",
    "\n",
    "Y = np.reshape(np.array(Y), [-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.scatter(X, Y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Building neural network...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '18824' (I am process '19611')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/rosgori/.theano/compiledir_Linux-4.4--generic-x86_64-with-debian-stretch-sid-x86_64-3.6.6-64/lock_dir\n",
      "Average Loss = -1,252.9: 100%|██████████| 20000/20000 [00:26<00:00, 769.11it/s]\n",
      "Finished [100%]: Average Loss = -1,253.4\n",
      "100%|██████████| 1000/1000 [00:23<00:00, 42.02it/s]\n",
      "100%|██████████| 1000/1000 [00:23<00:00, 42.78it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Square deviation: 0.07687421872356072\n"
     ]
    }
   ],
   "source": [
    "# 2. neural network\n",
    "print(\"Building neural network...\")\n",
    "\n",
    "nn = SNN.StochasticNeuralNetwork([3, 3], 20)\n",
    "nn.fit(X, Y, samples=1000, advi_n=20000)\n",
    "y_preds = nn.predict(X)\n",
    "RMSD = nn.RMSD(X, Y)\n",
    "\n",
    "print( \"Root Mean Square deviation:\", RMSD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.scatter(X, Y)\n",
    "plt.scatter(X, y_preds, alpha=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axarr = plt.subplots(1, 5, sharey=True, sharex=True, figsize=(15,6))\n",
    "\n",
    "for i in range(len(axarr)):\n",
    "    from_idx = 200 * i\n",
    "    to_idx = 200 * (i + 1)\n",
    "\n",
    "    axarr[i].scatter(X[from_idx:to_idx], Y[from_idx:to_idx])\n",
    "    axarr[i].scatter(X[from_idx:to_idx], y_preds[from_idx:to_idx], alpha=0.1)\n",
    "    axarr[i].set_title(\"t range %s to %s\" % (from_idx, to_idx))\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
